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Orthogonal polynomials in several variables. I

T. Constantinescu
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Abstract

In this paper we introduce and discuss some classes of orthogonal polynomials in several non-commuting variables. The emphasis is on a non-commutative version of the orthogonal polynomials on the real line. We introduce recurrence equations for these polynomials, Christoffel-Darboux formulas, and Jacobi type matrices.

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T. Constantinescu. 2002-05-31. Orthogonal polynomials in several variables. I. https://arxiv.org/abs/math/0205333

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